There is one obvious trend, it is that the magnitude of highs and lows is decreasing. (more on this here:
https://bitcointalksearch.org/topic/simple-price-analysis-and-metric-correlations-994411 )
If you look at the price on a "conventional" logarithmic graph you see that there is almost line between late 2010 and now. It looks like a
logarithmic function when the y-axis is logarithmic. It looks like a straight line when both the y-axis AND the x-axis is logarithmic. This line is easiest to see when you look at the support levels, meaning, the lowest price it had in each period (e.g. $1 in 2011, $5 in early 2012, $10 in late 2012, $100 in 2013, $200 in 2014, $400 in 2016). This puts the lowest support level at close to $1000 in 2017. As you see the period which it takes for each increase gets longer. So post 2017 it might take several years for another jump. And post that it might take a decade for another jump.
Edit: To answer OPs question, it will become more stable the more time passes. As long as its usage keeps increasing, all other things follow, such as hashrate and its price. I think number of transactions is a good metric (other usage metrics are hard to find, such as merchant/darknet/online casino data) of bitcoin usage.
